Group Theory
eBook - PDF

Group Theory

And its Application to the Quantum Mechanics of Atomic Spectra

  1. 386 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Group Theory

And its Application to the Quantum Mechanics of Atomic Spectra

Book details
Table of contents
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About This Book

Group Theory: And Its Application To The Quantum Mechanics Of Atomic Spectra aims to describe the application of group theoretical methods to problems of quantum mechanics with specific reference to atomic spectra. Chapters 1 to 3 discuss the elements of linear vector theory, while Chapters 4 to 6 deal more specifically with the rudiments of quantum mechanics itself. Chapters 7 to 16 discuss the abstract group theory, invariant subgroups, and the general theory of representations. These chapters are mathematical, although much of the material covered should be familiar from an elementary course in quantum theory. Chapters 17 to 23 are specifically concerned with atomic spectra, as is Chapter 25. The remaining chapters discuss topics such as the recoupling (Racah) coefficients, the time inversion operation, and the classical interpretations of the coefficients. The text is recommended for physicists and mathematicians who are interested in the application of group theory to quantum mechanics. Those who are only interested in mathematics can choose to focus on the parts more devoted to that particular area of the subject.

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Information

Publisher
Academic Press
Year
2012
ISBN
9780323152785
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Front Cover
  2. Group Theory: And its Application to the Quantum Mechanics of Atomic Spectra
  3. Copyright
  4. Table of Contents
  5. Author's Preface
  6. Translator's Preface
  7. Chapter 1. Vectors and Matrices
  8. Chapter 2. Generalizations
  9. Chapter 3. The Principal Axis Transformation
  10. Chapter 4. The Elements of Quantum Mechanics
  11. Chapter 5. Perturbation Theory
  12. Chapter 5. Perturbation Theory
  13. Chapter 6. Transformation Theory and the Bases for the Statistical Interpretation of Quantum Mechanics . .
  14. Chapter 7. Abstract Group Theory
  15. Chapter 8. Invariant Subgroups
  16. Chapter 9. The General Theory of Representations
  17. Chapter 10. Continuous Groups
  18. Chapter 11. Representations and Eigenfunctions
  19. Chapter 12. The Algebra of Representation Theory
  20. Chapter 13. The Symmetric Group
  21. Chapter 14. The Rotation Groups
  22. Chapter 15. The Three-Dimensional Pure Rotation Group
  23. Chapter 16. The Representations of the Direct Product
  24. Chapter 17. The Characteristics of Atomic Spectra
  25. Chapter 18. Selection Rules and the Splitting of Spectral Lines
  26. Chapter 19. Partial Determination of Eigenfunctions from Their Transformation Properties
  27. Chapter 20. Electron Spin
  28. Chapter 21. The Total Angular Momentum Quantum Number
  29. Chapter 22. The Fine Structure of Spectral Lines
  30. Chapter 23. Selection and Intensity Rules with Spin
  31. Chapter 24. Racah Coefficients
  32. Chapter 25. The Building-Up Principle
  33. Chapter 26. Time Inversion
  34. Chapter 27. Physical Interpretation and Classical Limits of Representation Coefficients, Three- and Six-j Symbols
  35. Appendix A. Conventions
  36. Appendix B. Summary of Formulas
  37. Subject Index